83874960 has 320 divisors, whose sum is σ = 324979200. Its totient is φ = 19740672.

The previous prime is 83874937. The next prime is 83874961. The reversal of 83874960 is 6947838.

It is a happy number.

83874960 is a `hidden beast` number, since 83 + 87 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83874961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814269 + ... + 814371.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^83874960 is an apocalyptic number.

83874960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

83874960 is an abundant number, since it is smaller than the sum of its proper divisors (241104240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83874960 is a wasteful number, since it uses less digits than its factorization.

83874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 83874960 is about 9158.3273582025. The cubic root of 83874960 is about 437.7344985048.

The spelling of 83874960 in words is "eighty-three million, eight hundred seventy-four thousand, nine hundred sixty".